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ec_curvedata • Show schema
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{'Ciso': '59850e', 'Clabel': '59850e4', 'Cnumber': 4, 'abc_quality': 1.0618472846030333, 'absD': 633102887689453125000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -197453067, -1067882786659], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 8957952, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3013899146673569076638904767', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2768241956450868452043, 2058557375000], 'lmfdb_iso': '59850.v', 'lmfdb_label': '59850.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -877569, 316643733], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '60.48.0-60.t.1.12', '456.48.0.?', '760.6.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6727117419492244518170768824', 'prec': 100}, 'szpiro_ratio': 6.265378566343998, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 1, 0, 1, 6, 0, 1, 0], 'aplist': [-1, 0, 0, -1, 0, -2, 6, 1, 0, 0, 8, -2, 6, 10, 0, 6, -6, 14, -8, 12, -2, 8, 12, -6, 16], 'class_deg': 6, 'class_size': 4, 'conductor': 59850, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '59850.v', 'trace_hash': 1917708976460223288}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0013565916977929148478760765144', 'prec': 110}, 'conductor': 59850, 'gens': [], 'heights': [], 'lmfdb_label': '59850.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.040274819523553681225157574854', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9331913371305766988075635929920619157', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-32429, 32429, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [0, 0], '19': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '59850.v1'}
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ec_torsion_growth • Show schema
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id: 2874274
{'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 2]}
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id: 2874275
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '59850.v1', 'torsion': [6]}
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id: 2874276
{'degree': 4, 'field': [456, 0, -18, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [12]}
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id: 2874277
{'degree': 4, 'field': [5776, 0, 38, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 6]}
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id: 2874278
{'degree': 6, 'field': [76, -66, 21, -9, 0, -3, 1], 'lmfdb_label': '59850.v1', 'torsion': [6]}
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id: 2874280
{'degree': 8, 'field': [346921, 0, 12730, 0, -222, 0, 10, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 12]}
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id: 2874279
{'degree': 8, 'field': [1768900, 0, -288800, 0, 7866, 0, -152, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 4]}
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id: 2874281
{'degree': 12, 'field': [5776, -5016, 2760, -18, -153, -417, 35, 60, -48, 18, 9, -3, 1], 'lmfdb_label': '59850.v1', 'torsion': [3, 6]}
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id: 2874282
{'degree': 12, 'field': [2019167222596, 125028349968, -107508684252, -5263895772, 2395102527, 90145578, -28453771, -780018, 189906, 3402, -675, -6, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 6]}
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id: 2874284
{'degree': 16, 'field': [1303210000, 0, 0, 0, 138551800, 0, 0, 0, 4020096, 0, 0, 0, 3838, 0, 0, 0, 1], 'lmfdb_label': '59850.v1', 'torsion': [2, 12]}
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id: 2874283
{'degree': 16, 'field': [6108425086, -8778939734, 2758817363, 1328177922, -679761219, -293296894, 104779135, 61905946, 3447709, -2936418, -530055, 38758, 16551, 54, -203, -2, 1], 'lmfdb_label': '59850.v1', 'torsion': [24]}
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id: 2874285
{'degree': 18, 'field': [300964208824, -467087959860, 639372598098, -538258406967, 324698196330, -143361255120, 45334961910, -9938803350, 1266071445, 8391310, -33405357, 4550250, -78414, -2529, -2640, 3, 75, -9, 1], 'lmfdb_label': '59850.v1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 1441013
{'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '59850.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1441014
{'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '59850.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1441015
{'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '59850.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1441016
{'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '59850.v1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1441017
{'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '59850.v1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 2061320
{'adelic_gens': [[11, 2, 2230, 2271], [1823, 2268, 1818, 2207], [970, 3, 573, 2272], [10, 3, 1113, 2272], [2269, 12, 2268, 13], [1888, 2269, 795, 32], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [675, 1048, 638, 1037]], 'adelic_image': '2280.96.1.?', 'conductor': 59850, 'lmfdb_label': '59850.v1', 'prime': 0}
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id: 253266
{'conductor': 59850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '59850.v1', 'modell_image': '2B', 'prime': 2}
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id: 253267
{'conductor': 59850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '59850.v1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 59850.v does not appear in ec_padic